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I am interested in floating a solid hardwood plank floor (3/4" x 3").
Has anyone successfully done this?

Absolutely ... around here (Gulf Coast) hardwood floors are routinely
installed on concrete slab foundations thusly:

The concrete floor is first sealed with a layer of hot tar.

1" - 1 1/2" "screeds" (ripped SYP 2 x 4's are commonly used) are then placed
on top of the tar about 12", or less, apart.

The hardwood floor planks are then laid perpendicular to the screeds and
nailed to them, leaving approximately 1/2" - 3/4" room for expansion along
all walls.

The expansion gap is then covered partially by the baseboard and completely
by the shoe molding.

Hardwood floors done in this manner on concrete slabs generally survive
better in this climate than hardwood floors laid on the subfloor of a
crawlspace foundation.

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Last update: 12/19/06